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Videocassette Recorder (VCR) Tapes Are Designed So That Users Can

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Videocassette recorder (VCR) tapes are designed so that users can repeatedly record new material over old material. However, after a number of re-recordings the tape begins to deteriorate. A VCR tape manufacturer is experimenting with a new technology, which hopefully will produce longer-lasting tapes. Thirty of the old-style tapes and 30 utilising the new technology were used in an experiment. The tapes were used to record and re-record programs until they began to deteriorate. The number of re-recordings is assumed to be normally distributed. It is generally accepted that the number of re-recordings should exceed 55. Any tapes that do not meet this criterion are considered to be unacceptable. The number of re-recordings were observed and shown in the accompanying table.  Old-style tapes  New-technology tapes 606148687058514666747269666361777349735571596661714976525859475655665149606264625957525163515666646852505576475558636878\begin{array} { | c | c | c | c | c | c | } \hline { \text { Old-style tapes } } &&& { \text { New-technology tapes } } \\\hline 60 & 61 & 48 & 68 & 70 & 58 \\\hline 51 & 46 & 66 & 74 & 72 & 69 \\\hline 66 & 63 & 61 & 77 & 73 & 49 \\\hline 73 & 55 & 71 & 59 & 66 & 61 \\\hline 71 & 49 & 76 & 52 & 58 & 59 \\\hline 47 & 56 & 55 & 66 & 51 & 49 \\\hline 60 & 62 & 64 & 62 & 59 & 57 \\\hline 52 & 51 & 63 & 51 & 56 & 66 \\\hline 64 & 68 & 52 & 50 & 55 & 76 \\\hline 47 & 55 & 58 & 63 & 68 & 78 \\\hline\end{array} Estimate with 90% confidence the difference in the proportions of unacceptable tapes between the old and new tapes.

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Definitions:

Organizational Change

Organizational change refers to the process through which a company or organization undergoes modification in its strategies, processes, or structures to adapt to internal or external changes.

Role Patterns

Recurring behaviors and expectations associated with particular positions or jobs within a social or organizational structure.

Restraining Forces

Factors or conditions that resist or oppose change, hindering progress towards achieving desired goals or transformations.

Negotiate

To discuss and arrive at a mutual agreement between parties with differing needs or views.

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